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Finding the Fourth Proportional to 9,983.33, 13,776.73 and 5,507

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Solution

The fourth proportional to 9,983.33, 13,776.73 and 5,507 is: 7,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.33 : 13,776.73 = 5,507 : x
  2. Step 2: Convert to fraction form
    9,983.33/13,776.73 = 5,507/x
  3. Step 3: Cross multiply
    9,983.33x = 13,776.73 × 5,507
  4. Step 4: Simplify right side
    9,983.33x = 75,868,452.11
  5. Step 5: Solve for x
    x = 75,868,452.11/9,983.33
  6. Step 6: Final answer
    x = 7,599.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.